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Can someone explain this?
A ladder 12.2 meters long can be so placed that it will reach a window 10.1 meters above the ground on one
side of the street. If a person tips it back without moving its foot, it will reach a window 6.4 meters above the
ground on the other side of the street. Find the width of the street.

Respuesta :

Answer:

17.2 meters

Step-by-step explanation:

This is a right triangle problem

a^2 + b^2 = c^2

The 1st triangle:

a^2 + 10.1^2 = 12.2^2

a^2 = 12.2^2 - 10.1^2

a^2 = 46.83

a = 6.8432448444

The 2nd triangle

a^2 + 6.4^2 = 12.2^2

a^2 = 12.2^2 - 6.4^2

a^2 = 107.88

a = 10.3865297381

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Width = 6.8432448444 + 10.3865297381

Width = 17.2297745825

Width ≈ 17.2 meters